Common factors of 128 and 192
2 answers:
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Answer: 20 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
x^2 = a^2 + b^2
Where x is the hypotenuse of the triangle (in this case the distance between Dayton and Belleville) and a and b are the other sides.
Replacing with the values given:
x^2 = 16^2 + 12^2
x^2 = 256+144
x^2 = 400
x = √400
x = 20 miles
Feel free to ask for more if needed or if you did not understand something.
Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>
а.
Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means
that Jamil receives
<em>x/</em>2-5 pencils.
b. Expression of pencils given to Jamil is: <em>x/</em>2-5
Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5
Simplify and evaluate: = 8-5= 3
Maggie gives 3 pencils to Jamil.
c. Expression of pencils given to Jamil is: x/2-5 to
Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total
number of pencils if Jamil received 1 pencil:
<em>x/</em>2 - 5 = 1
Solve for x:
<em>x</em> = 2(1+ 5)
Evaluate:
<em>x</em> = 2(6) = 12
Katie had 12 pencils if Jamil received 1 pencil.
RESULT
a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.
b. Maggie gives 3 pencils to Jamil.
c. Katie had 12 pencils if Jamil received 1 pencil.
